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3 years ago

Find 4/9 of 6:9 in simplest form

Mathematics

1 answer:

Yanka [14]3 years ago

3 0

Answer:Change values to whole numbers.

Convert any mixed numbers to fractions.

Convert 3 1/8

3 1/8 = 25/8

We now have:

5 : 3 1/8 = 5 : 25/8

Convert the whole number 5 to a fraction with 1 in the denominator.

We then have:

5 : 3 1/8 = 5/1 : 25/8

Convert fractions to integers by eliminating the denominators.

Our two fractions have unlike denominators so we find the Least Common Denominator and rewrite our fractions as necessary with the common denominator

LCD(5/1, 25/8) = 8

We now have:

5 : 3 1/8 = 40/8 : 25/8

Our two fractions now have like denominators so we can multiply both by 8 to eliminate the denominators.

We then have:

5 : 3 1/8 = 40 : 25

Try to reduce the ratio further with the greatest common factor (GCF).

The GCF of 40 and 25 is 5

Divide both terms by the GCF, 5:

40 ÷ 5 = 8

25 ÷ 5 = 5

The ratio 40 : 25 can be reduced to lowest terms by dividing both terms by the GCF = 5 :

40 : 25 = 8 : 5

Therefore:

5 : 3 1/8 = 8 : 5

Step-by-step explanation:

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3 years ago

Solve the inequality 2x + 8 < 5x − 4.

Jobisdone [24]

The answer should be X>4

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

2*x+8-(5*x-4)<0

Step by step solution :

Step 1 :

Pulling out like terms :

1.1 Pull out like factors :

-3x + 12 = -3 • (x - 4)

Equation at the end of step 1 :

Step 2 :

2.1 Divide both sides by -3

Remember to flip the inequality sign:

Solve Basic Inequality :

2.2 Add 4 to both sides

x > 4

3 0

3 years ago

Consider the following system of equations:

Delicious77 [7]

Answer:

The system has infinitely solutions

Step-by-step explanation:

we have

$-\frac{1}{3}x^{2}=-\frac{5}{6}+\frac{1}{3}y^{2}$

$\frac{1}{3}x^{2}+\frac{1}{3}y^{2}=\frac{5}{6}$

Multiply by 3 both sides

$x^{2}+y^{2}=\frac{5}{2}$ ----> equation A

The equation A is a circle centered at origin with radius $r=\sqrt{5/2}\ units$

and

$5y^{2} =\frac{25}{2}-5x^{2}$

$5x^{2}+5y^{2} =\frac{25}{2}$

Divide by 5 both sides

$x^{2}+y^{2} =\frac{5}{2}$ ----> equation B

The equation B is a circle centered at origin with radius $r=\sqrt{5/2}\ units$

Equation A and Equation B are the same

Therefore

The system has infinitely solutions

7 0

3 years ago

Read 2 more answers

Please help with problem

KatRina [158]

-3
Step by Step guide
$y = \frac{3}{2} ( - 4) + 3$
$y = - 6 + 3$
$y = - 3$

5 0

3 years ago

PLEASE HELP!!!!!

zhuklara [117]

Answer: The probability of picking 7 and then picking a number greater than 7 is $\frac{1}{3}$ or 0.3

Step-by-step explanation: Probability

Probability shows us the chances of an event occurring.

Now, given that we have already picked three cards. therefore, 7, 8, and 9.

The number of possible outcomes is 3.

the probability of card 7,

Now, as card seven is already picked up cards 8 and 9 are the only card left.

therefore, the sample size(possible outcomes) was reduced to 2 only.

Also, cards 8 and 9 both are greater than 7, thus the desired outcome is also 2.

Further the probability of the number greater than 7 occurring,

Probability picking a number greater than 7

The probability of picking a 7 and then picking a number greater than 7

= Probability of card 7 occurring x probability of card 8 and 9 occurring.

You're welcome. Pls give me brainiest

4 0

2 years ago